@article{RSMUP_1969__42__267_0,
author = {{\DJ}uri\'c, Milan {\DJ}.},
title = {On the interior regularity of weak solutions of non-stationary {Navier-Stokes} equations on a riemannian manifold},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {267--297},
year = {1969},
publisher = {Seminario Matematico of the University of Padua},
volume = {42},
zbl = {0249.35071},
mrnumber = {410122},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1969__42__267_0/}
}
TY - JOUR AU - Đurić, Milan Đ. TI - On the interior regularity of weak solutions of non-stationary Navier-Stokes equations on a riemannian manifold JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1969 SP - 267 EP - 297 VL - 42 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1969__42__267_0/ LA - en ID - RSMUP_1969__42__267_0 ER -
%0 Journal Article %A Đurić, Milan Đ. %T On the interior regularity of weak solutions of non-stationary Navier-Stokes equations on a riemannian manifold %J Rendiconti del Seminario Matematico della Università di Padova %D 1969 %P 267-297 %V 42 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1969__42__267_0/ %G en %F RSMUP_1969__42__267_0
Đurić, Milan Đ. On the interior regularity of weak solutions of non-stationary Navier-Stokes equations on a riemannian manifold. Rendiconti del Seminario Matematico della Università di Padova, Tome 42 (1969), pp. 267-297. https://www.numdam.org/item/RSMUP_1969__42__267_0/
[1] Ð: On the Dirichlet's problem for the Navier-Stokes equations on a Riemannian manifold. Public. Inst. Math. (Beograd) 6, 131-154, (1966). | Zbl | MR
[2] : Théorie globale des connexions et des groupes d'holonomie. Edizione Cremonese, Rome (1955). | Zbl
[3] : Über die Anfangswertaufgabe für die hydrodynamishen Grundleichungen. Math. Nachrichten 4, 213-231 (1950-51). | Zbl | MR
[4] & : On the nonstationary Navier-Stokes system. Rend Sem. Mat. Univ. Padova 32, 243-260 (1962). | Zbl | MR | Numdam
[5] & : On existence and uniquess of the the nonstationary problem for any incompressible viscous fluid. Izv. Akad Nauk, SSSR, 21, 655-680, (1957) (in Russian). | Zbl | MR
[6] & : Fondations of Differential Geometry. Wiley (Interscience), New York, Vol. I, (1963). | Zbl
[7] : Harmonic fields in Riemannian manifolds. Ann. Math. 50, 585-665 (1946). | Zbl
[8] : On the classicality of generalized solutions of general non-linear non-stationary Navier-Stokes equations. Trudy Mat. Inst. Steclov 4, 100-115 (1966).
[9] : The Mathematical Theory of Viscous Incompressible Flow. New York, Gordon & Breach (Transl. From Russian). | Zbl
[10] : Étude de diverses équations intégrales non linéares et de quelques problèmes que pose l'Hydrodynamique. J. Math. pures et appl., Série 9, 12, 1-82 (1933). | Zbl | Numdam
[11] : Sur l'existence de solution des équations de Navier-Stokes. C. R. Acad. Sci. Paris, 248, 2847-2850 (1959). | Zbl | MR
[12] : Étude de la solution fondamental de l'équation parabolique Riserche di Mat. 5, 25-57 (1956). | Zbl | MR
[13] : Un teorema di unicità per le equazioni di Navier-Stokes. Annali di Matematica pura ed applicata 48, 173-182 (1959). | Zbl | MR
[14] : Some Applications of Functional Analysis in Mathematical Physics. Akad. Nauk SSSR (Siberian department), (1962) (In Russian). | MR
[15] : Non-stationary equations of viscous fluid dynamics. Dokl. Akad. Nauk, SSSR, 128, 45-48 (1959) (In Russian). | Zbl | MR
[16] : L'intégrale de Riemann-Liouville et le probléme de Cauchy. Acta Math. 81, 1-223 (1949). | Zbl | MR
[17] : On the fundamental solution of the parabolic equation in a Riemannian space. Osaka Math. J., 5, 65-74 (1953). | Zbl | MR
[18] : Functional Analysis. Berlin, Springer-Verlag (1965).





